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3 years ago

Please HELP

Mathematics

1 answer:

eduard3 years ago

7 0

Answer:

Let B = (x, y)

Given A = (8, 9)

$distance = \sqrt{(x_1 - x_2)^2 + (y_1-y_2)^2} \\\\10 = \sqrt{(x_1 - 8)^2 + (y_1-9)^2}$

option 3

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At a pizza Parlour, you can order single, double, triple cheese in the crust. You also have the option to include ham, olives, p

ki77a [65]

Answer:

381 different types of pizza (assuming you can choose from 1 to 7 ingredients)

Step-by-step explanation:

We are going to assume that you can order your pizza with 1 to 7 ingredients.

If you want to choose 1 ingredient out of 7 you have 7 ways to do so.

If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so

If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so

If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so

If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so

If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so

If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so

So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.

But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.

Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.

Therefore, there are 381 different types of pizza.

3 0

3 years ago

Mason borrowed 1,200 from a friend to buy a new hot tub, His friend does't charge any interest and mason makes 50 payments eavh

balu736 [363]

You can identify the slope and y-intersept. The slope is 50 and the y-intercept is (0, 1200). You could also do the x-intercept, which would be the number of months passed when he pays off the debt fully. The x intercept would be (24,0)

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2 years ago

In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?

snow_lady [41]

If ΔACB is an isosceles triangle, then ∠A ≅ ∠B and AC ≅ CB

Since ∠C = 120° and ∠A + ∠B + ∠C = 180°, then ∠A = 30° and ∠B = 30°

Next, look at ΔADB. ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

Now look at ΔADC. Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC per angle addition postulate.

Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.

CD = 4 cm (given) so AC = 2(4 cm) = 8 cm

Since AC ≅ BC, then BC = 8 cm. Therefore, BD = 4 + 8 = 12 by segment addition postulate.

Lastly, look at ΔBHD. Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.

BD = 12 cm, so HD = $\frac{12}{2}cm$ = 6 cm

Answer: 6 cm

8 0

3 years ago

Read 2 more answers

The difference of the product of 3 and m minus the quotient of m divided by 2 m=6

s2008m [1.1K]

Answer:5m/2

Step-by-step explanation:

3m-m/2

(2×3m-1×m)/2

(6m-m)/2=5m/2

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2 years ago

Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.

Anni [7]

Answer:

25.64 in^2

Explanation:

60360⋅πr2, where r=7

=16⋅3.14⋅72=16⋅3.14⋅49=25.64 in^2

4 0

2 years ago